How to determine the value of x using the definition of a tangent line to a circle

The video tutorial explains the concept of tangent lines, which intersect a circle at exactly one point and are perpendicular to the circle's radius at the point of intersection. The teacher demonstrates how to prove a line is tangent by using the Pythagorean theorem to show that the line forms a right triangle with the radius. An example problem is provided, where the teacher calculates and verifies the tangency of a line using given measurements, confirming the line is tangent by proving it forms a right angle with the radius.

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